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The Integral $\int \frac { x ^ { 2 } } { \sqrt { 9 + x ^ { 2 } } } d x$

Question 88

Multiple Choice

The integral $\int \frac { x ^ { 2 } } { \sqrt { 9 + x ^ { 2 } } } d x$ is

A) $\frac { - 9 \sinh ^ { - 1 } \left( \frac { x } { 3 } \right) - x \sqrt { 9 - x ^ { 2 } } } { 2 } + C$
B) $\frac { 9 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - x \sqrt { 9 - x ^ { 2 } } } { 2 } + C$
C) $\frac { 9 \sinh ^ { - 1 } \left( \frac { x } { 3 } \right) + x \sqrt { 9 - x ^ { 2 } } } { 2 } + C$
D) $\frac { - 9 \sinh ^ { - 1 } \left( \frac { x } { 3 } \right) + x \sqrt { 9 - x ^ { 2 } } } { 2 } + C$
E) $\frac { - 9 \sinh ^ { - 1 } \left( \frac { x } { 3 } \right) + 2 x \sqrt { 9 - x ^ { 2 } } } { 2 } + C$

The Integral ∫x29+x2dx\int \frac { x ^ { 2 } } { \sqrt { 9 + x ^ { 2 } } } d x∫9+x2​x2​dx

Multiple Choice

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The Integral $\int \frac { x ^ { 2 } } { \sqrt { 9 + x ^ { 2 } } } d x$

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